The probability that you will meet a black cat on your way from college is 0.1

The probability that you will meet a black cat on your way from college is 0.1, an angry dog is 0.4. Find the probability that you will not meet a black cat or an angry dog

First, we find the probabilities of reverse events:

1) the probability that we will not meet a black cat: 1 – 0.1 = 0.9,

2) the probability that we will not meet an angry dog: 1 – 0.4 = 0.6.

The probability of two independent events occurring is equal to the product of the probabilities of these events:

0.9 * 0.6 = 0.54.